Solve 3*3*3*2*4*4*4*4*4*4*4*4

$$3 \times 3 \times 3 \times 2 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4$$

Evaluate

$$3538944$$

Solution Steps

Multiply 3 and 3 to get 9.

$$9\times 3\times 2\times 4\times 4\times 4\times 4\times 4\times 4\times 4\times 4$$

Multiply 9 and 3 to get 27.

$$27\times 2\times 4\times 4\times 4\times 4\times 4\times 4\times 4\times 4$$

Multiply 27 and 2 to get 54.

$$54\times 4\times 4\times 4\times 4\times 4\times 4\times 4\times 4$$

Multiply 54 and 4 to get 216.

$$216\times 4\times 4\times 4\times 4\times 4\times 4\times 4$$

Multiply 216 and 4 to get 864.

$$864\times 4\times 4\times 4\times 4\times 4\times 4$$

Multiply 864 and 4 to get 3456.

$$3456\times 4\times 4\times 4\times 4\times 4$$

Multiply 3456 and 4 to get 13824.

$$13824\times 4\times 4\times 4\times 4$$

Multiply 13824 and 4 to get 55296.

$$55296\times 4\times 4\times 4$$

Multiply 55296 and 4 to get 221184.

$$221184\times 4\times 4$$

Multiply 221184 and 4 to get 884736.

$$884736\times 4$$

Multiply 884736 and 4 to get 3538944.

$$3538944$$

Factor

$$2^{17}\times 3^{3}$$